256164040 has 64 divisors (see below), whose sum is σ = 631229760. Its totient is φ = 92785920.

The previous prime is 256164011. The next prime is 256164049. The reversal of 256164040 is 40461652.

It is not an unprimeable number, because it can be changed into a prime (256164049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127927 + ... + 129913.

It is an arithmetic number, because the mean of its divisors is an integer number (9862965).

Almost surely, 2^256164040 is an apocalyptic number.

256164040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256164040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315614880).

256164040 is an abundant number, since it is smaller than the sum of its proper divisors (375065720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256164040 is a wasteful number, since it uses less digits than its factorization.

256164040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 256164040 is about 16005.1254290618. The cubic root of 256164040 is about 635.0960154066.

The spelling of 256164040 in words is "two hundred fifty-six million, one hundred sixty-four thousand, forty".